Generating the Mathieu groups and associated Steiner systems
type: Item
instance of: scholarly article
title: Generating the Mathieu groups and associated Steiner systems
zbMATH Open document ID: 0780.05007
DOI: 10.1016/0012-365X(93)90222-F
published in: Discrete Mathematics
publication date: 1993-08-30T00:00:00Z
review text: The author provides generators for all five Mathieu groups with the help of suitable coset diagrams. The generators above can be easily used to construct the associated Steiner systems. Such a way of obtaining the Mathieu groups is quite interesting and adds something to the abundant literature on the subject.
Mathematics Subject Classification ID: 05B07
Mathematics Subject Classification ID: 51E10
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20B20
zbMATH DE Number: 179587
zbMATH Keywords: Leech lattice
zbMATH Keywords: generators
zbMATH Keywords: Mathieu groups
zbMATH Keywords: Steiner systems
author: Marston D. E. Conder
MaRDI profile type: Publication
cites work: Q4039784
cites work: Q3855356
cites work: A Presentation of the Mathieu Group M12
cites work: ABSTRACT DEFINITIONS FOR THE MATHIEU GROUPS
description: scientific article; zbMATH DE number 179587